Jonas Henkel

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math.DG2026

The Laplace-Beltrami spectrum on Naturally Reductive Homogeneous Spaces

Ilka Agricola, Jonas Henkel

We prove a formula for the spectrum of the Laplace-Beltrami operator on functions for compact naturally reductive homogeneous spaces in terms of eigenvalues of a generalized Casimi…

math.DG2026

Explicit Laplace Spectra of Homogeneous Principal Bundles

Ilka Agricola, Leandro Cagliero, Jonas Henkel

We present a unified representation-theoretic method to compute the Laplace-Beltrami spectrum on homogeneous principal bundles. For this setting, we introduce a multi-parameter fam…

math.DG2026

Hodge Laplacian on $1$ -forms of homogeneous $3$ -spheres

Jonas Henkel, Emilio A. Lauret

We study the spectrum of the Hodge-Laplacian on $1$ -forms for left-invariant metrics on the Lie group $SU (2) ≅ S^{3}$ and its quotient $\operatorname{SO}(3)\cong P…

The Laplace-Beltrami spectrum on Naturally Reductive Homogeneous Spaces

Explicit Laplace Spectra of Homogeneous Principal Bundles

Hodge Laplacian on 1-forms of homogeneous 3-spheres

Hodge Laplacian on $1$ -forms of homogeneous $3$ -spheres